美国数学建模论文格式(1)

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数学建模论文标准格式

数学建模论文标准格式为了适应数学开展的潮流和未来社会人才培养的需要,美国、德国、日本等兴旺国家普遍都十分重视数学建模教学。

以下是的数学建模论文标准格式，欢送阅读。

2.1.提供应学生主动学习的空间在当今知识经济时代，知识的传播和更新速度飞快，推行素质教育是根本目标，授人与鱼不如授人与渔。

学生掌握自学能力，能有效的弥补在课堂上学得的有限知识的缺乏。

数学建模所涉及到的知识面广，除问题相关领域知识外，还要求学生掌握如数理统计、最优化、图论、微分方程、计算方法、神经网络、层次分析法、模糊数学、数学软件包的使用等。

多元的学科领域、灵活多变的技能方法是学生从未接触过的，并且也不可能在短时间内由老师一一的讲解清楚，势必会促使学生通过自学、探讨的方式来将其研懂。

给出问题，让学生针对问题去广泛资料，并将其中与问题有关的信息加以消化，化为己用，解决问题。

这样的能力将对学生在今后的工作和科研受益匪浅[2]。

在培训期间，大局部学生会以为老师将把数学建模比赛所涉及到的知识全部传授给学生，学生只要在那里坐着听老师讲就能参加比赛拿到名次了。

但是当得知竞赛主要由学生自学完成，老师只是起引导作用时，有局部学生选择了放弃。

坚持下来的学生，他们感谢学校给与他们这样能够培养个人能力的时机，对他们今后受用匪浅！2.2.体验撰写综合运用知识和方法解决实际问题这一系列论文的过程学生在撰写数学建模科技论文的时候，不光要求学生具备一定的数学功底、有良好的计算机应用能力、还要求学生具备相关领域知识，从实际问题中提炼出关键信息，并运用所学知识对这些关键信息加以抽象、建立模型。

这也是教师一直倡导学生对所学知识不光要记住，而且要会运用。

千万不要读死书，死读书，读书死。

2.3.培养了学生的创新意识和实践能力在撰写过程中潜移默化的培养了学生获取新知识、新技术、新方法的能力，并在解决实际问题的过程中培养学生的创新意识和实践能力。

有别于其他竞赛活动，数学建模竞赛培养学生运用所学知识将实际问题数字化的能力，学生要有良好的洞察力，具有从现象抓本质的能力。

数学建模论文模板

附件一：数学建模论文模板（注：论文标题、摘要、关键词为单独的第1页；第2页开始为正文，原则上应该包括问题提出、问题分析、…、模型的评价与改进及参考文献；若需写短文的则另起一页附在最后）论文标题姓名1；姓名2；姓名3（学院班级1，学院班级2，学院班级3，）摘要：XXXXXX（字数至少3百，但不得超过8百）关键词：XXXXXXXXXXXXX1 问题的提出XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXX2 问题的分析XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXX3 基本假设XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX4 定义符号说明XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXX5 模型的建立XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXX6 模型的求解XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXX7 结果分析XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXX8 模型的评价与改进XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXX参考文献[1]XXX，XXXXXXXXXXXXXXXXXXX，XXXXXXX，XXXXX；[2]XXX，XXXXXXXXXXXXXXXXXXXXXXXXXXXXX，XXXXXXXXXXXX，XXXXX。

美国大学生数学建模竞赛优秀论文

For office use onlyT1________________ T2________________ T3________________ T4________________Team Control Number7018Problem ChosencFor office use onlyF1________________F2________________F3________________F4________________ SummaryThe article is aimed to research the potential impact of the marine garbage debris on marine ecosystem and human beings，and how we can deal with the substantial problems caused by the aggregation of marine wastes.In task one，we give a definition of the potential long-term and short-term impact of marine plastic garbage. Regard the toxin concentration effect caused by marine garbage as long-term impact and to track and monitor it. We etablish the composite indicator model on density of plastic toxin，and the content of toxin absorbed by plastic fragment in the ocean to express the impact of marine garbage on ecosystem. Take Japan sea as example to examine our model.In ask two, we designe an algorithm, using the density value of marine plastic of each year in discrete measure point given by reference，and we plot plastic density of the whole area in varies locations. Based on the changes in marine plastic density in different years， we determine generally that the center of the plastic vortex is East—West140°W—150°W, South—North30°N—40°N. According to our algorithm, we can monitor a sea area reasonably only by regular observation of part of the specified measuring pointIn task three，we classify the plastic into three types，which is surface layer plastic，deep layer plastic and interlayer between the two. Then we analysis the the degradation mechanism of plastic in each layer. Finally，we get the reason why those plastic fragments come to a similar size.In task four， we classify the source of the marine plastic into three types，the land accounting for 80%，fishing gears accounting for 10%，boating accounting for 10%，and estimate the optimization model according to the duel-target principle of emissions reduction and management. Finally, we arrive at a more reasonable optimization strategy.In task five，we first analyze the mechanism of the formation of the Pacific ocean trash vortex， and thus conclude that the marine garbage swirl will also emerge in south Pacific，south Atlantic and the India ocean. According to the Concentration of diffusion theory, we establish the differential prediction model of the future marine garbage density，and predict the density of the garbage in south Atlantic ocean. Then we get the stable density in eight measuring point .In task six, we get the results by the data of the annual national consumption ofpolypropylene plastic packaging and the data fitting method, and predict the environmental benefit generated by the prohibition of polypropylene take-away food packaging in the next decade. By means of this model and our prediction，each nation will reduce releasing 1.31 million tons of plastic garbage in next decade.Finally, we submit a report to expediction leader，summarize our work and make some feasible suggestions to the policy- makers.Task 1:Definition:●Potential short-term effects of the plastic: the hazardeffects will be shown in the short term.●Potential long-term effects of the plastic: thepotential effects, of which hazards are great, willappear after a long time.The short- and long-term effects of the plastic on the ocean environment:In our definition, the short-term and long-term effects of the plastic on the ocean environment are as follows.Short-term effects:1）The plastic is eaten by marine animals or birds.2） Animals are wrapped by plastics, such as fishing nets, which hurt or even kill them.3）Deaden the way of the passing vessels.Long-term effects:1）Enrichment of toxins through the food chain: the waste plastic in the ocean has no natural degradation in theshort-term, which will first be broken down into tinyfragments through the role of light, waves,micro-organisms, while the molecular structure has notchanged. These "plastic sands", easy to be eaten byplankton, fish and other, are Seemingly very similar tomarine life’s food,causing the enrichment and delivery of toxins.2）Accelerate the greenhouse effect: after a long-term accumulation and pollution of plastics, the waterbecame turbid, which will seriously affect the marineplants (such as phytoplankton and algae) inphotosynthesis. A large number of plankton’s deathswould also lower the ability of the ocean to absorbcarbon dioxide, intensifying the greenhouse effect tosome extent.To monitor the impact of plastic rubbish on the marine ecosystem:According to the relevant literature, we know that plastic resin pellets accumulate toxic chemicals , such as PCBs、DDE , and nonylphenols , and may serve as a transport medium and soure of toxins to marine organisms that ingest them[]2. As it is difficult for the plastic garbage in the ocean to complete degradation in the short term, the plastic resin pellets in the water will increase over time and thus absorb more toxins, resulting in the enrichment of toxins and causing serious impact on the marine ecosystem.Therefore, we track the monitoring of the concentration of PCBs, DDE, and nonylphenols containing in the plastic resin pellets in the sea water, as an indicator to compare the extent of pollution in different regions of the sea, thus reflecting the impact of plastic rubbish on ecosystem.To establish pollution index evaluation model: For purposes of comparison, we unify the concentration indexes of PCBs, DDE, and nonylphenols in a comprehensive index.Preparations:1）Data Standardization2）Determination of the index weightBecause Japan has done researches on the contents of PCBs,DDE, and nonylphenols in the plastic resin pellets, we illustrate the survey conducted in Japanese waters by the University of Tokyo between 1997 and 1998.To standardize the concentration indexes of PCBs, DDE,and nonylphenols. We assume Kasai Sesside Park, KeihinCanal, Kugenuma Beach, Shioda Beach in the survey arethe first, second, third, fourth region; PCBs, DDE, andnonylphenols are the first, second, third indicators.Then to establish the standardized model:j j jij ij V V V V V min max min --= （1,2,3,4;1,2,3i j ==）wherej V max is the maximum of the measurement of j indicator in the four regions.j V min is the minimum of the measurement of j indicatorstandardized value of j indicator in i region.According to the literature [2], Japanese observationaldata is shown in Table 1.Table 1. PCBs, DDE, and, nonylphenols Contents in Marine PolypropyleneTable 1 Using the established standardized model to standardize, we have Table 2.In Table 2，the three indicators of Shioda Beach area are all 0, because the contents of PCBs, DDE, and nonylphenols in Polypropylene Plastic Resin Pellets in this area are the least, while 0 only relatively represents the smallest. Similarly, 1 indicates that in some area the value of a indicator is the largest.To determine the index weight of PCBs, DDE, and nonylphenolsWe use Analytic Hierarchy Process (AHP) to determine the weight of the three indicators in the general pollution indicator. AHP is an effective method which transforms semi-qualitative and semi-quantitative problems into quantitative calculation. It uses ideas of analysis and synthesis in decision-making, ideally suited for multi-index comprehensive evaluation.Hierarchy are shown in figure 1.Fig.1 Hierarchy of index factorsThen we determine the weight of each concentrationindicator in the generall pollution indicator, and the process are described as follows:To analyze the role of each concentration indicator, we haveestablished a matrix P to study the relative proportion.⎥⎥⎥⎦⎤⎢⎢⎢⎣⎡=111323123211312P P P P P P P Where mn P represents the relative importance of theconcentration indicators m B and n B . Usually we use 1，2，…，9 and their reciprocals to represent different importance. The greater the number is, the more important it is. Similarly, the relative importance of m B and n B is mn P /1（3,2,1,=n m ）.Suppose the maximum eigenvalue of P is m ax λ, then theconsistency index is1max --=n nCI λThe average consistency index is RI , then the consistencyratio isRICI CR = For the matrix P of 3≥n , if 1.0<CR the consistency isthougt to be better, of which eigenvector can be used as the weight vector.We get the comparison matrix accoding to the harmful levelsof PCBs, DDE, and nonylphenols and the requirments ofEPA on the maximum concentration of the three toxins inseawater as follows:⎥⎥⎥⎦⎤⎢⎢⎢⎣⎡=165416131431P We get the maximum eigenvalue of P by MATLAB calculation0012.3max =λand the corresponding eigenvector of it is()2393.02975.09243.0，，=W1.0042.012.1047.0<===RI CI CR Therefore,we determine the degree of inconsistency formatrix P within the permissible range. With the eigenvectors of p as weights vector, we get thefinal weight vector by normalization ()1638.02036.06326.0'，，=W . Defining the overall target of pollution for the No i oceanis i Q , among other things the standardized value of threeindicators for the No i ocean is ()321,,i i i i V V V V = and the weightvector is 'W ,Then we form the model for the overall target of marine pollution assessment, （3,2,1=i ）By the model above, we obtained the Value of the totalpollution index for four regions in Japanese ocean in Table 3T B W Q '=In Table3, the value of the total pollution index is the hightest that means the concentration of toxins in Polypropylene Plastic Resin Pellets is the hightest, whereas the value of the total pollution index in Shioda Beach is the lowest(we point up 0 is only a relative value that’s not in the name of free of plastics pollution)Getting through the assessment method above, we can monitor the concentration of PCBs, DDE and nonylphenols in the plastic debris for the sake of reflecting the influence to ocean ecosystem.The highter the the concentration of toxins,the bigger influence of the marine organism which lead to the inrichment of food chain is more and more dramatic.Above all, the variation of toxins’ concentration simultaneously reflects the distribution and time-varying of marine litter. We can predict the future development of marine litter by regularly monitoring the content of these substances, to provide data for the sea expedition of the detection of marine litter and reference for government departments to make the policies for ocean governance.Task 2:In the North Pacific, the clockwise flow formed a never-ending maelstrom which rotates the plastic garbage. Over the years, the subtropical eddy current in North Pacific gathered together the garbage from the coast or the fleet, entrapped them in the whirlpool, and brought them to the center under the action of the centripetal force, forming an area of 3.43 million square kilometers (more than one-third of Europe) .As time goes by, the garbage in the whirlpool has the trend of increasing year by year in terms of breadth, density, and distribution. In order to clearly describe the variability of the increases over time and space, according to “Count Densities of Plastic Debris from Ocean Surface Samples North Pacific Gyre 1999—2008”, we analyze the data, exclude them with a great dispersion, and retain them with concentrated distribution, while the longitude values of the garbage locations in sampled regions of years serve as the x-coordinate value of a three-dimensional coordinates, latitude values as the y-coordinate value, the Plastic Count per cubic Meter of water of the position as the z-coordinate value. Further, we establish an irregular grid in the yx plane according to obtained data, and draw a grid line through all the data points. Using the inverse distance squared method with a factor, which can not only estimate the Plastic Count per cubic Meter of water of any position, but also calculate the trends of the Plastic Counts per cubic Meter of water between two original data points, we can obtain the unknown grid points approximately. When the data of all the irregular grid points are known (or approximately known, or obtained from the original data), we can draw the three-dimensional image with the Matlab software, which can fully reflect the variability of the increases in the garbage density over time and space.Preparations:First, to determine the coordinates of each year’s sampled garbage.The distribution range of garbage is about the East - West 120W-170W, South - North 18N-41N shown in the “Count Densities of Plastic Debris from Ocean Surface Samples North Pacific Gyre 1999--2008”, we divide a square in the picture into 100 grids in Figure (1) as follows:According to the position of the grid where the measuring point’s center is, we can identify the latitude and longitude for each point, which respectively serve as the x- and y- coordinate value of the three-dimensional coordinates.To determine the Plastic Count per cubic Meter of water. As the “Plastic Count per cubic Meter of water” provided by “Count Densities of P lastic Debris from Ocean Surface Samples North Pacific Gyre 1999--2008”are 5 density interval, to identify the exact values of the garbage density of one year’s different measuring points, we assume that the density is a random variable which obeys uniform distribution in each interval.Uniform distribution can be described as below:()⎪⎩⎪⎨⎧-=01a b x f ()others b a x ,∈We use the uniform function in Matlab to generatecontinuous uniformly distributed random numbers in each interval, which approximately serve as the exact values of the garbage density andz-coordinate values of the three-dimensional coordinates of the year’s measuring points.Assumptions(1)The data we get is accurate and reasonable.(2)Plastic Count per cubic Meter of waterIn the oceanarea isa continuous change.(3)Density of the plastic in the gyre is a variable by region.Density of the plastic in the gyre and its surrounding area is interdependent , However, this dependence decreases with increasing distance . For our discussion issue, Each data point influences the point of each unknown around and the point of each unknown around is influenced by a given data point. The nearer a given data point from the unknown point, the larger the role.Establishing the modelFor the method described by the previous,we serve the distributions of garbage density in the “Count Pensities of Plastic Debris from Ocean Surface Samples North Pacific Gyre 1999--2008”as coordinates ()z y,, As Table 1:x,Through analysis and comparison, We excluded a number of data which has very large dispersion and retained the data that is under the more concentrated the distribution which, can be seen on Table 2.In this way, this is conducive for us to get more accurate density distribution map.Then we have a segmentation that is according to the arrangement of the composition of X direction and Y direction from small to large by using x co-ordinate value and y co-ordinate value of known data points n, in order to form a non-equidistant Segmentation which has n nodes. For the Segmentation we get above,we only know the density of the plastic known n nodes, therefore, we must find other density of the plastic garbage of n nodes.We only do the sampling survey of garbage density of the north pacificvortex,so only understand logically each known data point has a certain extent effect on the unknown node and the close-known points of density of the plastic garbage has high-impact than distant known point.In this respect,we use the weighted average format, that means using the adverse which with distance squared to express more important effects in close known points. There're two known points Q1 and Q2 in a line ,that is to say we have already known the plastic litter density in Q1 and Q2, then speculate the plastic litter density's affects between Q1、Q2 and the point G which in the connection of Q1 and Q2. It can be shown by a weighted average algorithm22212221111121GQ GQ GQ Z GQ Z Z Q Q G +*+*=in this formula GQ expresses the distance between the pointG and Q.We know that only use a weighted average close to the unknown point can not reflect the trend of the known points, we assume that any two given point of plastic garbage between the changes in the density of plastic impact the plastic garbage density of the unknown point and reflecting the density of plastic garbage changes in linear trend. So in the weighted average formula what is in order to presume an unknown point of plastic garbage density, we introduce the trend items. And because the greater impact at close range point, and thus the density of plastic wastes trends close points stronger. For the one-dimensional case, the calculation formula G Z in the previous example modify in the following format:2212122212212122211111112121Q Q GQ GQ GQ Q Q GQ Z GQ Z GQ Z Z Q Q Q Q G ++++*+*+*=Among them, 21Q Q known as the separation distance of the known point, 21Q Q Z is the density of plastic garbage which is the plastic waste density of 1Q and 2Q for the linear trend of point G . For the two-dimensional area, point G is not on the line 21Q Q , so we make a vertical from the point G and cross the line connect the point 1Q and 2Q , and get point P , the impact of point P to 1Q and 2Q just like one-dimensional, and the one-dimensional closer of G to P , the distant of G to P become farther, the smaller of the impact, so the weighting factor should also reflect the GP in inversely proportional to a certain way, then we adopt following format:221212222122121222211111112121Q Q GQ GP GQ GQ Q Q GQ GP Z GQ Z GQ Z Z P Q Q Q Q G ++++++*+*+*=Taken together, we speculated following roles:(1) Each known point data are influence the density of plastic garbage of each unknown point in the inversely proportional to the square of the distance;(2) the change of density of plastic garbage between any two known points data, for each unknown point are affected, and the influence to each particular point of their plastic garbage diffuse the straight line along the two known particular point; (3) the change of the density of plastic garbage between any two known data points impact a specific unknown points of the density of plastic litter depends on the three distances: a. the vertical distance to a straight line which is a specific point link to a known point;b. the distance between the latest known point to a specific unknown point;c. the separation distance between two known data points.If we mark 1Q ，2Q ，…，N Q as the location of known data points,G as an unknown node, ijG P is the intersection of the connection of i Q ，j Q and the vertical line from G to i Q ，j Q()G Q Q Z j i ,,is the density trend of i Q ，j Q in the of plasticgarbage points and prescribe ()G Q Q Z j i ,,is the testing point i Q ’ s density of plastic garbage ,so there are calculation formula:()()∑∑∑∑==-==++++*=Ni N ij ji i ijGji i ijG N i Nj j i G Q Q GQ GPQ Q GQ GP G Q Q Z Z 11222222111,,Here we plug each year’s observational data in schedule 1 into our model, and draw the three-dimensional images of the spatial distribution of the marine garbage ’s density with Matlab in Figure (2) as follows:199920002002200520062007－2008(1)It’s observed and analyzed that, from 1999 to 2008, the density of plastic garbage is increasing year by year and significantly in the region of East – West 140W-150W, south - north 30N-40N. Therefore, we can make sure that this region is probably the center of the marine litter whirlpool. Gathering process should be such that the dispersed garbage floating in the ocean move with the ocean currents and gradually close to the whirlpool region. At the beginning, the area close to the vortex will have obviously increasable about plastic litter density, because of this centripetal they keeping move to the center of the vortex ,then with the time accumulates ,the garbage density in the center of the vortex become much bigger and bigger , at last it becomes the Pacific rubbish island we have seen today.It can be seen that through our algorithm, as long as the reference to be able to detect the density in an area which has a number of discrete measuring points,Through tracking these density changes ,we Will be able to value out all the waters of the density measurement through our models to determine,This will reduce the workload of the marine expedition team monitoring marine pollution significantly, and also saving costs .Task 3:The degradation mechanism of marine plasticsWe know that light, mechanical force, heat, oxygen, water, microbes, chemicals, etc. can result in the degradation of plastics . In mechanism ,Factors result in the degradation can be summarized as optical ，biological，and chemical。

数学建模论文格式

1. 标题：是以最恰当、最简明的词语反映论文中主要内容的逻辑组合。

要求：反映内容准确得体，外延内涵恰如其分，用语凝练醒目。

2. 摘要：全文主要内容的简短陈述。

要求：1）摘要必须指明研究的主要内容，使用的主要方法，得到的主要结论和成果；2）摘要用语必须十分简练，内容亦须充分概括。

文字不能太长，6000字以内的文章摘要一般不超过300字；3）不要举例，不要讲过程，不用图表，不做自我评价。

3. 关键词：文章中心内容所涉及的重要的单词，以便于信息检索。

要求：数量不要多，以3-5各为宜，不要过于生僻。

（七）. 正文1）前言：问题的背景：问题的来源；提出问题：需要研究的内容及其意义；文献综述：国内外有关研究现状的回顾和存在的问题；概括介绍论文的内容，问题的结论和所使用的方法。

2）主体：（数学应用问题）数学模型的组建、分析、检验和应用等。

（数学理论问题）推理论证，得出结论等。

3）讨论：解释研究的结果，揭示研究的价值, 指出应用前景, 提出研究的不足。

要求：1）背景介绍清楚，问题提出自然；2）思路清晰,涉及到得数据真是可靠,推理严密,计算无误；3）突出所研究问题的难点和意义。

5. 参考文献：是在文章最后所列出的文献目录。

他们是在论文研究过程中所参考引用的主要文献资料，是为了说明文中所引用的的论点、公式、数据的来源以表示对前人成果的尊重和提供进一步检索的线索。

要求：1）文献目录必须规范标注；2）文末所引的文献都应是论文中使用过的文献，并且必须在正文中标明.提交一篇论文，基本内容和格式大致分三大部分：一、标题、摘要部分：1．题目--写出较确切的题目（不能只写A题、B题）。

2．摘要--200-300字，包括模型的主要特点、建模方法和主要结果。

3．内容较多时最好有个目录。

二、中心部分：1．问题提出，问题分析。

2．模型建立：①补充假设条件，明确概念，引进参数；②模型形式（可有多个形式的模型）；③模型求解；④模型性质；3．计算方法设计和计算机实现。

美国大学生数学建模大赛英文写作

Conference Interpreting and Its Effect Evaluation, Nonlinear Waves in Elastic Rods， Introducing Management into…
写作要求： 1. 简短论文标题一般在10个字内，最多不超过15个词。
多用复合词
如：self-design, cross-sectional, dust-free, water-proof, input-orientation, piece-wiselinear 利用缩略词如：e.g., i.e., vs.（与…相对), ibid.(出处相同）， etc., cit.(在上述引文中), et al.(等人), viz.(即,就是), DEA (data envelopment analysis), OLS(Ordinary least-squares)
“Investigation on …”, “Observation on …”, “The Method of …”, “Some thought on…”, “A research on…”等冗余套语。
4. 少用问题性标题 5. 避免名词与动名词混杂使用如:标题是 “The Treatment of Heating and Eutechticum of Steel” 宜改为 “Heating and Eutechticuming of Steel” 6. 避免使用非标准化的缩略语论文标题要求简洁,但一般不使用缩略语 ,更不能使用非标准化的缩略语。
关键词（Keywords)
基本功能：顾名思义；便于检索语言特点：多用名词；字数有限（4-6）；出处明确写作要求 :论文的关键字一般列在作者与单位之下，论文摘要之上。也有列在论文摘要之下的。关键词除第一个字母大写外，一般不要求大写。关键词间用逗号、分号或大间隔隔开。最末一个关键词一般不加用逗号、分号或句号。

美赛格式要求范文

美赛格式要求范文美赛（MCM，Mathematical Contest in Modeling）是一项面向全球大学生的数学建模竞赛，每年举办一次。

在美赛中，参赛队伍需要从所给的问题中选择一个进行建模与分析，并以一篇报告的形式提交给评委会。

这篇报告的格式要求是非常重要的，正确的格式能够使报告更具条理性、易读性和专业性。

通常，美赛的报告要求在1200字以上。

以下是美赛报告常见的格式要求：2.摘要：摘要是美赛报告的起始部分，需要简洁明了地介绍问题的背景、目标、方法和结果。

摘要应当限制在200字以内，并能够很好地概括整篇报告的主要内容。

3.引言：引言部分需要对问题进行充分的描述和分析，包括问题的背景、现状和重要性。

同时，引言还应该明确问题的具体要求，并给出解决问题的思路和方法。

4.建模过程：建模过程是报告的核心部分，需要详细描述解决问题的思路和方法。

可以分为以下几个步骤：a.模型假设：在建模过程中，需要明确问题所涉及的假设条件，这些假设在以后的推导和分析中起到重要作用。

b.变量定义和符号说明：对于涉及到的变量和符号，需要给出明确的定义和说明。

这样可以使读者更好地理解报告中使用的符号和表达方式。

c.模型建立：根据问题描述和目标要求，建立相应的数学模型。

需要清晰地说明模型的基本假设、变量关系和优化目标等。

可以使用数学公式、图表和图像等方式进行表达。

d.模型求解：通过合适的数学方法和计算工具对模型进行求解。

需要给出详细的求解过程，包括数据处理、计算流程和结果分析等。

5.结果分析：在结果分析部分，需要对模型求解的结果进行合理的解释和分析。

对于复杂的结果，可以使用图表、图像和表格等形式进行展示。

同时还需要对结果的可行性、准确性、稳定性和实用性进行评价和讨论。

6.模型评价：对于所建立的模型，需要进行客观的评价和讨论。

包括模型的局限性、不确定性和可扩展性等方面。

同时还可以提出改进模型的建议和思考。

7.结论：在报告的结尾部分，需要对整个建模过程进行总结，并给出解决问题的最终结论。

美赛格式要求范文

美赛格式要求范文美赛（MCM/ICM）是美国大学生数学建模竞赛的英文缩写，是一项面向全球大学生的数学建模竞赛。

MCM/ICM每年提供若干个实际问题供参赛者选择，并规定参赛者提交一份由三人组成的队伍作品，要求队伍在规定的时间内解答问题并撰写一篇报告。

以下是美赛格式的一般要求：1.报告页数要求：参赛队伍通常需要撰写一篇1200字以上的报告。

具体的页数要求可以根据不同的问题和竞赛要求略有变化，但一般不超过20页。

尽管有页数限制，但在撰写报告时需要全面、清晰地阐述问题、解决方法和结论。

2.章节结构：一篇标准的美赛报告通常包括以下几个部分：-引言：介绍问题的背景和目的，明确解决问题的方法和目标。

-问题分析：对问题进行深入的分析和理解，包括重新表述问题、提出假设和限制条件，展开问题讨论。

-模型建立：建立一个或多个数学模型，以解决问题。

需要解释模型背后的理论基础和假设，并给出模型的描述和方程。

-模型求解：详细描述解决模型的方法、步骤和计算过程。

需要标注具体的计算公式、算法、图表和详细的计算结果。

-结果分析：对所得结果进行详细的解释和分析，包括结果的合理性和局限性，对模型的优缺点进行评价。

-结论与建议：总结所得结论，并提出可能的进一步研究方向和改进建议。

3.图表和数学符号的使用：美赛报告通常需要使用多个图表和数学符号，以支持和解释问题的分析和解决方法。

图表应该清晰、简洁，并配有必要的标注和说明。

数学符号应该统一、准确地使用，避免造成混淆。

5.语言表达：报告应使用准确、简练、清晰的语言表达问题、论证思路和解决方案。

语法、拼写和标点符号应正确无误。

尽管以上是一般的美赛报告要求，但具体的格式要求可能会因竞赛规则和题目的特殊性而有所不同。

建议参赛队伍在参赛前详细了解官方提供的竞赛规则和报告要求，并遵循官方给出的指导进行撰写报告。

同时，可以参考以往的优秀报告和获奖队伍的经验，借鉴其写作技巧和结构。

数学建模论文格式

☐1、参赛队从A、B题中任选一题，论文（答卷）用A4纸打印，上、下页边距2.5厘米，左、右页边距3.0厘米。

☐2、论文第一页为保证书，及签名（见封面）☐3、论文题目和摘要写在第二页上，从第三页开始是论文正文。

☐4、论文从第三页开始编写页码，页码必须位于每页页脚中部，用阿拉伯数字从“1”开始连续编号。

☐5、论文不能有页眉，论文中不能有任何可能显示答题人身份的标志。

☐6、论文题目用3号黑体字、一级标题用4号黑体字，并居中。

论文中其他汉字一律采用小4号宋体字，行距用1.5倍行距☐一、摘要☐二、问题的提出☐三、问题的分析☐四、模型假设与符号假设☐五、模型的建立☐六、模型的简化与求解☐七、结果分析与检验☐八、模型的优缺点与改进方向☐九、参考文献☐十、附录部分。

☐1、题目—写出较确切的题目（不能只写A题、B题）。

☐2、摘要—200—300字，包括模型的主要特点、建模方法和主要结果。

☐摘要是对整篇文章的高度概括，主要内容是：针对何种问题，在作了何种符合实际情况的假设和简化的前提下，建立了什么样的数学模型（模型的名称），采用了什么方法求解数学模型（必须是较专业的术语），得到了什么结果和结论，如果有多个模型可以进行优缺点和结果的比较。

☐摘要的撰写：应以使读者不阅读论文全文即能获得必要的信息为宗旨摘要是论文内容不加注释和评论的简单陈述,其作用是使读者不阅读论文全文即能获得必要的信息.在数学建模论文中,摘要是非常重要的一部分.☐数学建模论文的摘要应包以下内容:☐所研究的实际问题☐建立的模型☐求解模型的方法☐获得的基本结果☐对模型的检验或推广论文摘要需要用概括、简练的语言反映这些内容，尤其是要突出论文的优点，如巧妙的建模的方法、快速有效地算法、合理的推广等。

一般科技论文的摘要要求不列举例证，不出现图、表，数学公式、不自我评价，且字数应在200以内。

前几年，大学生数学建模竞赛论文的摘要，要求在300字以内。

从2001年开始，为了提高论文评选效率，要求将论文第一页全用作摘要，对字数无明显的限制。

数学建模美赛论文标准格式参考--中英文对照

Your Paper's Title Starts Here: Please Centeruse Helvetica (Arial) 14论文的题目从这里开始：用Helvetica (Arial)14号FULL First Author1, a, FULL Second Author2,b and Last Author3,c第一第二第三作者的全名1Full address of first author, including country第一作者的地址全名，包括国家2Full address of second author, including country第二作者的地址全名，包括国家3List all distinct addresses in the same way第三作者同上a email,b email,c email第一第二第三作者的邮箱地址Keywords:List the keywords covered in your paper. These keywords will also be used by the publisher to produce a keyword index.关键字：列出你论文中的关键词。

这些关键词将会被出版者用作制作一个关键词索引。

For the rest of the paper, please use Times Roman (Times New Roman) 12论文的其他部分请用Times Roman (Times New Roman) 12号字Abstract. This template explains and demonstrates how to prepare your camera-ready paper for Trans Tech Publications. The best is to read these instructions and follow the outline of this text.Please make the page settings of your word processor to A4 format (21 x 29,7 cm or 8 x 11 inches); with the margins: bottom 1.5 cm (0.59 in) and top 2.5 cm (0.98 in), right/left margins must be 2 cm (0.78 in).摘要：这个模板解释和示范供稿技术刊物有限公司时，如何准备你的供相机使用文件。

数学建模论文格式规范

数学建模竞赛论文格式规范●论文（答卷）用白色A4纸，上下左右各留出2.5厘米的页边距。

●论文第一页为参赛队有关信息及承诺书●论文题目和摘要写在第二页上，摘要不能超过1页。

从第三页开始是论文正文。

●论文从正文(无目录从第三页,有目录从目录后)开始编写页码，页码必须位于每页页脚中部，用阿拉伯数字从“1”开始连续编号。

●论文不能有页眉，论文中不能有任何可能显示答题人身份的标志。

●论文题目用3号黑体字、一级标题用4号黑体字，并居中。

论文中其他汉字一律采用小4号宋体字，行距用单倍行距。

数学公式必须用数学公式编辑器编辑。

●提请大家注意：摘要在整篇论文评阅中占有重要权重，请认真书写摘要。

●引用别人的成果或其他公开的资料(包括网上查到的资料) 必须按照规定的参考文献的表述方式在正文引用处和参考文献中均明确列出。

正文引用处用方括号标示参考文献的编号，如[1][3]等；引用书籍还必须指出页码。

参考文献按正文中的引用次序列出，其中，☆书籍的表述方式为：[编号] 作者，书名，出版地：出版社，出版年.☆参考文献中期刊杂志论文的表述方式为：[编号] 作者，论文名，杂志名，卷期号：起止页码，出版年.☆参考文献中网上资源的表述方式为：[编号] 作者，资源标题，网址，访问时间（年月日）.论文参考模板及说明数学建模的论文写作大致分为以下步骤：第一部分：摘要：从总体上阐述文章要解决的问题、分析问题的主要思路、针对问题建立的模型以及最终的计算结果(主要是说明你用什么方法；解决了什么问题；主要结果是什么；有什么特色和创新点，以及其它工作。

摘要是整篇文章的高度压缩，文字精练，表达准确) . 摘要内容不少于500字。

关键词：列出文章中出现的关键词汇及数学用语。

第二部分（正文）：（一）．问题重述针对题目进行复述，简要阐述问题提出的背景以及需要解决的问题。

重点解决的问题应着重说明，把阅卷老师引导到自己的思路中，把他们看成不懂本问题的读者。

（二）．问题的分析对问题进行必要的分析，得到解决问题的主要思路及大致方法。

美国大学生数学建模比赛的论文格式

ContentsⅠIntroduction (1)1.1Problem Background (1)1.2Previous Research (2)1.3Our Work (2)ⅡGeneral Assumptions (3)ⅢNotations and Symbol Description (3)3.1 Notations (4)3.2 Symbol Description (4)ⅣSpread of Ebola (5)4.1 Traditional Epidemic Model (5)4.1.1.The SEIR Model (5)4.1.2 (6)4.1.3 (6)4.2 Improved Model (7)4.2.1.The SEIHCR Model (8)4.2.2 (9)ⅤPharmaceutical Intervention (9)5.1 Total Quantity of the Medicine (10)5.1.1.Results from WHO Statistics (10)5.1.2.Results from SEIHCR Model (11)5.2 Delivery System (12)5.2.1.Locations of Delivery (13)5.2.2 (14)5.3 Speed of Manufacturing (15)ⅥOther Important Interventions (16)6.1 Safer Treatment of Corpses (17)6.2 Conclusion (18)ⅦControl and Eradication of Ebola (19)7.1 How Ebola Can Be Controlled (20)7.2 When Ebola Will Be Eradicated (21)ⅧSensitivity Analysis (22)8.1 Impact of Transmission Rate (23)8.2 Impact of the Incubation Priod (24)ⅨStrengths and Weaknesses (25)9.1 Strengths (26)9.2 Weaknesses (27)9.3 Future Work (28)Letter to the World Medical Association (30)References (31)ⅠIntroduction1.1.Promblem Background1.2.Previous Research1.3.Our WorkⅡGeneral Assumptions●●ⅢNotations and Symbol Description3.1. Notataions3.2. Symbol DescriptionSymbol DescriptionⅣSpread of Ebola4.1. Traditional Epidemic Model4.1.1. The SEIR Model4.1.2. Outbreak Data4.1.3. Reslts of the SEIR Model4.2. Improved Model4.2.1. The SEIHCR Model4.2.2. Choosing paametersⅤPharmaceutical Intervention 5.1. Total Quantity of the Medicine 5.1.1. Results from WHO Statistics5.2. Delivery System5.2.1. Locations of Delivery5.2.2. Amount of Delivery5.3. Speed of Manufacturong5.4. Medicine EfficacyⅥOther Important Interventions 6.1. Safer Treatment of Corpses6.2. ConclusionⅦControl and Eradication of Ebola 7.1. How Ebola Can Be Controlled7.2. When Ebola Will Be EradicatedⅧSensitivity Analysis8.1. Impact of Transmission Rate8.2. Impact of Incubation PeriodⅨStrengths and Weaknesses 9.1. Strengths●●●9.2. Weaknesses●●●9.3.Future WorkLetter to the World Medical AssociationTo whom it may concern,Best regards,Team #32150References ［1］［2］［3］［4］。

美国中学生数学建模竞赛获奖论文

Abstract
In this paper, we undertake the search and find problem. In two parts of searching, we use different way to design the model, but we use the same algorithm to calculate the main solution. In Part 1, we assume that the possibilities of finding the ring in different paths are different. We give weight to each path according to the possibility of finding the ring in the path. Then we simplify the question as pass as more weight as possible in limited distance. To simplify the calculating, we use Greedy algorithm and approximate optimal solution, and we define the values of the paths(according to the weights of paths) in Greedy algorithm. We calculate the possibility according to the weight of the route and to total weights of paths in the map. In Part 2, firstly, we limit the moving area of the jogger according to the information in the map. Then we use Dijkstra arithmatic to analysis the specific area of the jogger may be in. At last, we use greedy algorithm and approximate optimal solution to get the solution.

数学建模论文格式规范

数学建模论文格式规范一、纸质版论文格式规范第一条，论文用白色A4纸打印(单面、双面均可)；上下左右各留出至少2.5厘米的页边距；从左侧装订。

第二条，论文第一页为承诺书，第二页为编号专用页，具体内容见本规范第3、4页。

第三条，论文第三页为摘要专用页（含标题和关键词，但不需要翻译成英文），从此页开始编写页码；页码必须位于每页页脚中部，用阿拉伯数字从“1”开始连续编号。

摘要专用页必须单独一页，且篇幅不能超过一页。

第四条，从第四页开始是论文正文（不要目录，尽量控制在20页以内）；正文之后是论文附录（页数不限）。

第五条，论文附录至少应包括参赛论文的所有源程序代码，如实际使用的软件名称、命令和编写的全部可运行的源程序（含EXCEL、SPSS等软件的交互命令）；通常还应包括自主查阅使用的数据等资料。

赛题中提供的数据不要放在附录。

如果缺少必要的源程序或程序不能运行，可能会被取消评奖资格。

论文附录必须打印装订在论文纸质版中。

如果确实没有需要以附录形式提供的信息，论文可以没有附录。

第六条，论文正文和附录不能有任何可能显示答题人身份和所在学校及赛区的信息。

第七条，引用别人的成果或其他公开的资料(包括网上资料)必须按照科技论文写作的规范格式列出参考文献，并在正文引用处予以标注。

第八条，本规范中未作规定的，如排版格式（字号、字体、行距、颜色等）不做统一要求，可由赛区自行决定。

在不违反本规范的前提下，各赛区可以对论文增加其他要求。

二、电子版论文格式规范第九条，参赛队应按照《全国大学生数学建模竞赛报名和参赛须知》的要求命名和提交以下两个电子文件，分别对应于参赛论文和相关的支撑材料。

第十条，参赛论文的电子版不能包含承诺书和编号专用页（即电子版论文第一页为摘要页）。

除此之外，其内容及格式必须与纸质版完全一致（包括正文及附录），且必须是一个单独的文件，文件格式只能为PDF或者Word格式之一（建议使用PDF格式），不要压缩，文件大小不要超过20MB。

数学建模论文格式及要求

数学建模论文的撰写数学建模论文是注重实际应用的一类研究性论文, 是通过建立反映社会生产和生活中具有重要意义的现象的数学规律的模型, 并运用数学原理及计算机工具加以解决, 其结论或方法必须具有一定的独创性。

撰写数学建模论文和通常完成数学建模竞赛的答卷是类似的, 都是在完成了一个数学建模问题的全部过程后, 把所作的工作进行小结, 以有清楚定义的格式写出解法论文,用于交流或给有关部门、人员汇报。

事实上, 数学建模竞赛其中就包含了参赛人员写作能力的比试, 评比的主要标准除假设的合理性、建模的创造性、模型的数据和结论的可信性外, 还有一点就是文字表述的清晰程度。

因此,下面简单谈谈建模论文的写作。

竞赛数学建模的论文评选标准主要是:( 1) 假设的合理性;( 2) 建模的创造性;( 3) 结果的合理性;( 4) 表述的清晰程度。

数学建模论文的结构：一份完整的答卷应包含以下内容:论文题目；摘要；问题的重述；模型的假设、符号约定和名词解释；模型的建立、模型的求解、模型的结果和检验；模型的评价和改进；参考文献；附录。

论文题目要能反映出该论文的实质, 简单明了、字数不宜过多。

摘要一般为200～400 字；其内容主要包括建模思想、模型特点、求解方法、主要结果等,其既要概括全文, 又要反映出本队的特点；竞赛数学建模的论文摘要极为重要, 它是评委们首先看到的, 如果摘要写不好, 即使下面的内容写的再好也可能被提前淘汰。

摘要应具有独立性和自含性, 即只阅读摘要, 不阅读论文全文,就能获得必要的信息。

摘要中要有数据、有结论, 是一篇完整的短文, 可以独立使用, 可以引用, 可以用于工艺推广。

摘要的内容应包含与论文同等量的主要信息, 可供读者确定有无必要阅读全文, 也可供文摘等二次文献选用。

摘要一般应说明研究工作的目的、实验方法, 结果和最终结论等, 重点是结果和结论。

”对于大学生数学建模竞赛来讲, 由于是对同一个问题给出的解答, 为了使评阅人较快弄清作者的思路, 我们认为摘要还是尽可能详细一些为好。

数学建模美赛写作模版(包含摘要、格式、总结、表格、公式、图表、假设)

论文reference 格式中文解说版总体要求1 正文中引用的文献与文后的文献列表要完全一致.ν文中引用的文献可以在正文后的文献列表中找到；文献列表的文献必须在正文中引用。

2 文献列表中的文献著录必须准确和完备。

3 文献列表的顺序文献列表按著者姓氏字母顺序排列；姓相同,按名的字母顺序排列；著者姓和名相同，按出版年排列。

νν相同著者，相同出版年的不同文献，需在出版年后面加a、b、c、d……来区分，按文题的字母顺序排列。

如: Wang, M. Y。

（2008a). Emotional……Wang, M。

Y。

(2008b). Monitor……Wang，M。

Y. (2008c). Weakness……4 缩写chap. chapter 章ed。

edition 版Rev. ed。

revised edition 修订版2nd ed. second edition 第2版Ed. (Eds。

）Editor （Editors）编Trans. Translator（s) 译n.d. No date 无日期p。

(pp。

）page （pages）页Vol. Volume (as in Vol。

4) 卷vols。

volumes （as in 4 vols.）卷No。

Number 第Pt。

Part 部分Tech. Rep. Technical Report 技术报告Suppl. Supplement 增刊5 元分析报告中的文献引用ν元分析中用到的研究报告直接放在文献列表中，但要在文献前面加星号＊。

并在文献列表的开头就注明*表示元分析用到的的文献。

正文中的文献引用标志在著者—出版年制中，文献引用的标志就是“著者”和“出版年”，主要有两种形式：（1）正文中的文献引用标志可以作为句子的一个成分，如：Dell（1986）基于语误分析的结果提出了音韵编码模型，…….汉语词汇研究有庄捷和周晓林（2001）的研究。

（2)也可放在引用句尾的括号中，如:在语言学上，音节是语音结构的基本单位，也是人们自然感到的最小语音片段。

数学建模论文格式

数学建模比赛论文格式● 题名。

论文题目用三号黑体字、一级标题用四号黑体字，并居中，题名一般不超过 20 个汉字。

●摘要。

从2001年起开始加大摘要在论文评分中的比重，摘要中要把模型中用到的数学方法写清楚，要把创新点闪光点写出来，最后要给出模型的答案，即通过论文的摘要基本上就可以对论文有个基本的评判，字数至少200字，不能超过一页，摘要内容字体为常规，仿宋，五号。

摘要前加“[摘要]”作标识，字体为加粗，黑体，五号。

● 关键字：3-5个● 问题的提出：按照你自己的理解，对所有题目做更清晰的表达。

●问题的分析：根据问题性质，你打算建立什么样的模型。

● 模型假设：有些假设须作出必要的解释。

● 模型设计：对出现的数学符号需做必要的解释。

● 模型解法与结果● 模型结果的分析与检验，包括误差分析、稳定性分析等。

● 模型的评价：模型的优缺点及改进方向。

● 参考文献：引用别人的成果或其他公开的资料(包括网上查到的资料) 必须按照规定的参考文献的表述方式在正文引用处和参考文献中均明确列出。

正文引用处用方括号标示参考文献的编号，如[1][3]等；引用书籍还必须指出页码。

参考文献按正文中的引用次序列出，其中书籍的表述方式为：[编号] 作者，书名，出版地：出版社，出版年。

参考文献中期刊杂志论文的表述方式为：[编号] 作者，论文名，杂志名，卷期号：起止页码，出版年。

参考文献中网上资源的表述方式为：[编号] 作者，资源标题，网址，访问时间（年月日）。

“[参考文献]”字体为加粗，黑体，五号；其内容的汉字字体为常规，仿宋，小五。

● 附录：包含一些图表、计算的中间结果和必要的计算机程序。

● 文内标题。

力求简短、明确，题末不用标点符号（问号、叹号、省略号除外）。

层次不宜超过5级。

第1级标题字体为常规，楷体，小四；第2级标题字体为加粗，宋体，五号；次级递减。

层次序号可采用一．（一）．1．（1）．1），不宜用①，以与注释号区别。

文内内容字体为常规，宋体，五号。

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